106005506656 has 96 divisors (see below), whose sum is σ = 251167150080. Its totient is φ = 43056769536.

The previous prime is 106005506653. The next prime is 106005506687. The reversal of 106005506656 is 656605500601.

It is a super-2 number, since 2×106005506656² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005506653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467185 + ... + 655951.

It is an arithmetic number, because the mean of its divisors is an integer number (2616324480).

Almost surely, 2^106005506656 is an apocalyptic number.

106005506656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106005506656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125583575040).

106005506656 is an abundant number, since it is smaller than the sum of its proper divisors (145161643424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106005506656 is a wasteful number, since it uses less digits than its factorization.

106005506656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188916 (or 188908 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 106005506656 in words is "one hundred six billion, five million, five hundred six thousand, six hundred fifty-six".